{"id":"vidhyamitra:day:2081-12-09:en","page_class":"VM-1-day","url":"https://vidhyamitra.com/day/2081-12-09","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2081-12-09","date_display":"December 9, 2081 CE","panchanga":{"method":"Sūrya Siddhānta + Bhāskara-II iterative manda + Kerala-school (Mādhava-Nīlakaṇṭha) evection + variation + annual equation","engine_version":"2.0 (Kerala-school enhanced)","accuracy_note":"Sub-degree on Moon at any Kali-Yuga date (~2-5° residual max)","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":2081,"month":12,"day":9,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2481472.770833,"kali_year":5183,"ahargana":1893007.2708,"sun":{"sidereal_longitude":231.9893,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":330.3625,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":9,"name":"Navamī","paksha":"Śukla","full_name":"Śukla Navamī","elongation_degrees":98.3732,"elapsed_within_tithi_degrees":2.3732},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":4,"moon_longitude":330.3625,"elapsed_within_degrees":10.3625},"yoga":{"number":16,"name":"Siddhi","sum_longitude":202.3517},"karana":{"half_tithi_index":16,"name":"Bālava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"sky":{"method":"Sūrya-Siddhāntic Bhāskara-II 4-step iteration with atan2-based śīghra + varying peripheries + lunar latitude","engine_version":"3.0 (Pūrṇa — complete SS implementation)","tradition_sources":"Āryabhaṭīya 499 CE → SS Ch.1-5 Burgess 1860 → Siddhānta-Śiromaṇi Bhāskara II 1150 → Tantrasaṅgraha Nīlakaṇṭha 1501","input":{"year":2081,"month":12,"day":9,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2481472.770833,"ahargana":1893007.2708,"kali_year":5183,"ayanamsa_lahiri":24.9976,"grahas":{"sun":{"sidereal_longitude":232.62614899999994,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":330.82854900000007,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":4},"retrograde":false,"latitude":0.8576},"mars":{"sidereal_longitude":190.26484900000003,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":245.99314900000002,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":323.533149,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":228.942449,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":296.864049,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":319.365,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":139.365,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":2},"retrograde":false}},"panchang":{"method":"Sūrya Siddhānta + Bhāskara-II iterative manda + Kerala-school (Mādhava-Nīlakaṇṭha) evection + variation + annual equation","engine_version":"2.0 (Kerala-school enhanced)","accuracy_note":"Sub-degree on Moon at any Kali-Yuga date (~2-5° residual max)","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":2081,"month":12,"day":9,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2481472.770833,"kali_year":5183,"ahargana":1893007.2708,"sun":{"sidereal_longitude":231.9893,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":330.3625,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":9,"name":"Navamī","paksha":"Śukla","full_name":"Śukla Navamī","elongation_degrees":98.3732,"elapsed_within_tithi_degrees":2.3732},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":4,"moon_longitude":330.3625,"elapsed_within_degrees":10.3625},"yoga":{"number":16,"name":"Siddhi","sum_longitude":202.3517},"karana":{"half_tithi_index":16,"name":"Bālava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":0.858,"elongation":98.373},"lunar":{"type":"lunar","occurs":false,"moon_latitude":0.858,"opposition_distance":81.627}},"eclipse_window_40days":[]},"calendars":{"vikram_samvat":2138,"vikram_samvatsara":"Ānanda","saka_samvat":2003,"saka_samvatsara":"Plava","bengali_samvat":1488,"malayalam_era":1257,"nanakshahi_year":612,"lunar_month":"Mārgaśīrṣa","lunar_month_paksha_full":"Mārgaśīrṣa Śukla Pakṣa","solar_month":"Vṛścika (Kārttikai)","ritu":"Hemanta (Pre-winter)","display_summary":"Mārgaśīrṣa Śukla Navamī · Vikram 2138 Ānanda · Śaka 2003 Plava"},"festivals":[{"id":"vrischika-sankranti","name":"Vṛścika Saṅkrānti","name_sanskrit":"वृश्चिक सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Scorpio.","vrata":false,"detection":{"sun_rashi":"Vṛścika"},"precedence":5}],"todays_walk":{"walk":{"id":"mangala-walk","name":"Maṅgala Walk","name_sanskrit":"मङ्गल यात्रा","type":"graha","description":"Right action + BG 2.31-38 (kṣatriya-dharma).","step_count":7,"url":"/walk/mangala-walk"},"reason":"Maṅgalavāra (Tuesday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-1626101-04-03","event":"Bhagavān Rāma's birth at Ayodhyā","chart_id":"rama","shared_marker":"same Śukla Navamī","url":"/day/-1626101-04-03","relevance":0.5}]},"validity":{"eternal":false,"valid_from":"2081-12-09T00:00:00Z"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate; Vidhyamitra substrate"},"seo":{"title":"Pañchāṅga December 9, 2081 CE · Vidhyamitra","description":"Vedic pañchāṅga for December 9, 2081 CE: Śukla Navamī · Pūrva Bhādrapadā.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/day/2081-12-09","hreflang_alternates":{"en":"https://vidhyamitra.com/day/2081-12-09","sa":"https://sa.vidhyamitra.com/day/2081-12-09","hi":"https://hi.vidhyamitra.com/day/2081-12-09","x-default":"https://vidhyamitra.com/day/2081-12-09"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T07:18:56.143Z","verification":{"type":"multi-marker","confidence":"canonical"}}],"meta":{"generated_at":"2026-05-14T07:18:56.143Z","pillar_versions":{"BOB-History":"Pūrṇa"}}}